{
  "id": "2405.07015",
  "version": "v1",
  "published": "2024-05-11T13:33:30.000Z",
  "updated": "2024-05-11T13:33:30.000Z",
  "title": "XY model on a self-avoiding walk",
  "authors": [
    "Kamilla Faizullina",
    "Evgeni Burovski"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other"
  ],
  "abstract": "We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic, thus the XY model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromagnetic phase transitions, and pay special attention to the vicinity of the theta-point. Our numerical results suggest that the transitions are continuous in two dimensions and first-order in three dimensions, which is similar to related models with Ising spins.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-11T13:33:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "xy model",
      "self-avoiding walk",
      "xy spin variables",
      "dimensions",
      "pay special attention"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}